Dynamic Response Energy Analysis of Filled–Shell Coupled Structures Based on NRBO-FMD-HHT

Dynamic Response Energy Analysis of Filled–Shell Coupled Structures Based on NRBO-FMD-HHT | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Article Dynamic Response Energy Analysis of Filled–Shell Coupled Structures Based on NRBO-FMD-HHT Jun Liang, Tao Li, xuelian jiang, junjie Liao This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-9414398/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 5 You are reading this latest preprint version Abstract To investigate the effects of differences in stiffness and damping of filling materials on the non-stationary dynamic response of filled–shell structures, a typical cylindrical filled–shell specimen was designed in this study. High-modulus, low-damping material MJ and low-modulus, high-damping epoxy resin (ER) were selected as internal filling media, and sinusoidal sweep-frequency and half-sine shock vibration table tests were carried out. By acquiring acceleration and dynamic strain signals at different locations of the shell and the filling material, the response transmission, local amplification, and strain evolution characteristics of the structure under different filling conditions were systematically analyzed. To address the problems of mode mixing and noise sensitivity in the time–frequency analysis of non-stationary impact signals, an NRBO-optimized FMD-HHT method was employed. In combination with the Hilbert spectrum, peak Hilbert energy amplitude, and marginal spectrum, the time–frequency energy characteristics of the structural response were characterized and evaluated. The results indicate that different filling materials lead to significant differences in energy transfer paths, frequency-band distributions, vibration peak responses, and local strain patterns. Specifically, high-stiffness filling tends to induce high-frequency energy concentration and enhanced local responses, whereas high-damping filling exhibits stronger energy dissipation capability, although certain local regions may present more pronounced deformation sensitivity. These findings provide a useful reference for material selection, dynamic design, and condition assessment of similar filled–shell structures subjected to impact–vibration environments. Physical sciences/Engineering Physical sciences/Materials science Physical sciences/Physics energy transfer and dissipation filled–shell coupled structure NRBO-optimized FMD-HHT method Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Under Review Version 1 posted Reviewers invited by journal 24 Apr, 2026 Editor assigned by journal 24 Apr, 2026 Editor invited by journal 24 Apr, 2026 Submission checks completed at journal 17 Apr, 2026 First submitted to journal 17 Apr, 2026 You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-9414398","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":634197444,"identity":"2f8b599c-605e-49a6-a688-428205c9db90","order_by":0,"name":"Jun Liang","email":"","orcid":"","institution":"Mianyang Teachers’ College","correspondingAuthor":false,"prefix":"","firstName":"Jun","middleName":"","lastName":"Liang","suffix":""},{"id":634197445,"identity":"0f2867e5-9cb7-4bab-b272-82aae2bd3e35","order_by":1,"name":"Tao Li","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAArElEQVRIiWNgGAWjYBACPmYQWQHhSBClhY0ZpOcMRDWRWhiAWhjbSNLCzn/ww8d52+r4G5gP3uZhsMsjxmHMkjO33ZaQOMCWbM3DkFxMjBYGaV6gFgMGHjNpHoYDiQ3E2PKbdw5IC/83orWwSfM2gG1hI1qLmeWMY7clZxxmM7acY5BMWAs//8HHNz7U3Obnb29+eONNhR1hLQgATgYGxKsfBaNgFIyCUYAHAAA7OC07A3Y0NQAAAABJRU5ErkJggg==","orcid":"","institution":"Mianyang Teachers’ College","correspondingAuthor":true,"prefix":"","firstName":"Tao","middleName":"","lastName":"Li","suffix":""},{"id":634197449,"identity":"305d2165-c615-4ccd-9401-2d87ad7a6d42","order_by":2,"name":"xuelian jiang","email":"","orcid":"","institution":"Southwest University of Science and Technology","correspondingAuthor":false,"prefix":"","firstName":"xuelian","middleName":"","lastName":"jiang","suffix":""},{"id":634197450,"identity":"7c6596db-b843-4487-9e02-c226038978e1","order_by":3,"name":"junjie Liao","email":"","orcid":"","institution":"Mianyang Teachers’ College","correspondingAuthor":false,"prefix":"","firstName":"junjie","middleName":"","lastName":"Liao","suffix":""}],"badges":[],"createdAt":"2026-04-14 10:53:13","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-9414398/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-9414398/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":108515651,"identity":"c255e013-3b04-4153-95c5-1ce338bf9460","added_by":"auto","created_at":"2026-05-05 13:27:10","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":2102351,"visible":true,"origin":"","legend":"","description":"","filename":"Manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-9414398/v1_covered_c4d93962-1dfc-4e99-9bf0-5795083eb60f.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Dynamic Response Energy Analysis of Filled–Shell Coupled Structures Based on NRBO-FMD-HHT","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"scientific-reports","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"scirep","sideBox":"Learn more about [Scientific Reports](http://www.nature.com/srep/)","snPcode":"","submissionUrl":"","title":"Scientific Reports","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Scientific Reports","inReviewEnabled":true,"inReviewRevisionsEnabled":true},"keywords":"energy transfer and dissipation, filled–shell coupled structure, NRBO-optimized FMD-HHT method","lastPublishedDoi":"10.21203/rs.3.rs-9414398/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-9414398/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eTo investigate the effects of differences in stiffness and damping of filling materials on the non-stationary dynamic response of filled\u0026ndash;shell structures, a typical cylindrical filled\u0026ndash;shell specimen was designed in this study. High-modulus, low-damping material MJ and low-modulus, high-damping epoxy resin (ER) were selected as internal filling media, and sinusoidal sweep-frequency and half-sine shock vibration table tests were carried out. By acquiring acceleration and dynamic strain signals at different locations of the shell and the filling material, the response transmission, local amplification, and strain evolution characteristics of the structure under different filling conditions were systematically analyzed. To address the problems of mode mixing and noise sensitivity in the time\u0026ndash;frequency analysis of non-stationary impact signals, an NRBO-optimized FMD-HHT method was employed. In combination with the Hilbert spectrum, peak Hilbert energy amplitude, and marginal spectrum, the time\u0026ndash;frequency energy characteristics of the structural response were characterized and evaluated. 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